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qUESTIONS

A screw gauge with a pitch of 0.5 mm and a circular scale with 50 divisions is used to measure the thickness of a thin sheet of Aluminium. Before starting the measurement, it is found that when the two jaws of the screw gauge are brought in contact, the 45th division coincides with the main scale line and that the zero of the main scale is barely visible. What is the thickness of the sheet if the main scale reading is 0.5 mm and the 25th division coincides with the main scale line [2016]

The diameter of a cylinder is measured using a vernier calipers with no zero error. It is found that the zero of the vernier scale lies between 5.10 cm and 5.15 cm of the main scale. The vernier scale has 50 division equivalent to 2.45 cm. The 24th division of the vernier scale exactly coincides with one of the main scale divisions. The diameter of the cylinder is [2013]

The density of a solid ball is to be determined in an experiment. The diameter of the ball is measured with a screw gauge, whose pitch is 0.5 mm and there are 50 divisions on the circular scale. The reading on the main scale is 2.5 mm and that on the circular scale is 20 divisions. If the measured mass of the ball has a relative error of 2%, the relative percentage error in the density is [2011]

In the determination of Young’s modulus by using Searle’s method, a wire of length L = 2m and diameter d=0.5mm is used. For a load M2.5kg, an extension 1=0.25mm in the length of the wire is observed. Quantities d and I are measured using a screw gauge and a micrometer, respectively. They have the same pitch of 0.5mm The number of divisions on their circular scale is 100. The contributions to the maximum probable error of the Y measurement

The circular divisions of shown screw gauge are 50. It moves 0.5 mm on main scale in one rotation. The diameter of the ball is [2006]

A student measured the length of a rod and wrote it as 3.50 cm. Which instrument did he use to measure it? [2014]

A student performs an experiment for the determination of g= 4π^2l/T^2, he commits an error of Al. For that he takes the time of n oscillations with the stop watch of least count AT and he commits a human error of 0.1 sec. For which of the following data, the measurement of g will be most accurate [2006]

A student measures the time period of 100 oscillations of a simple pendulum four times. That data set is 90 s, 91 s, 95 s and 92 s. If the minimum division in the measuring clock is 1 s, then the reported mean time should be [2006]

A wire has a mass 0.3±0.003g, radius 0.5 ± 0.005 mm and length 6±0.06cm. The maximum percentage error in the measurement of its density is [2004]

In the relation P = (α/β)e^−αzkθ , p is pressure, Z is distance, k is Boltzmann constant and θ is the temperature. The dimensional formula of β will be [2004]

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